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Finding the Fourth Proportional to 7,529.70, 10,400.90 and 5,782.89

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Solution

The fourth proportional to 7,529.70, 10,400.90 and 5,782.89 is: 7,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.70 : 10,400.90 = 5,782.89 : x
  2. Step 2: Convert to fraction form
    7,529.70/10,400.90 = 5,782.89/x
  3. Step 3: Cross multiply
    7,529.70x = 10,400.90 × 5,782.89
  4. Step 4: Simplify right side
    7,529.70x = 60,147,231.69
  5. Step 5: Solve for x
    x = 60,147,231.69/7,529.70
  6. Step 6: Final answer
    x = 7,988.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.